Crystal system |
trigonal |
Space group number |
156 |
Hermann-Mauguin |
P3m1 |
Hall |
P 3 -2" |
Point group |
3m |
Normalized formula |
ZrMn3 |
The number of formula units per unit cell |
3 |
The total number of atoms per unit cell |
12 |
The number of inequivalent sites per unit cell |
8 |
Structure search |
MP |
a (Å) |
4.8704 |
b (Å) |
4.8704 |
c (Å) |
7.9894 |
α (deg.) |
90.000 |
β (deg.) |
90.000 |
γ (deg.) |
120.000 |
Volume (Å3) |
164.124 |
Density (g/cm3) |
7.771 |
DFT calculations (details) | |
---|---|
Formation energy (vs. elemental phases) |
-104.5 meV/atom |
Formation energy above hull |
40.3 meV/atom |
DFT calculations (details) | |
---|---|
Magnetic ordering |
Ferromagnetic |
Total magnetic moment |
6.34 μB/cell |
Averaged magnetic moment |
0.53 μB/atom |
Magnetic polarization, Js = μ0Ms |
0.45 T (= 358.1 emu/cm3) |
LMTO-GF calculations (details) | |
---|---|
Curie temperature, TC |
|
DFT calculations (details) | |
---|---|
Magnetic anisotropy constant, Ka-c |
1.95 MJ/m3 (= 1.99 meV/cell) |
Magnetic easy axis |
c |
Magnetic hardness parameter, κ |
3.52 |
index | species | w | x | y | z | m (μB) | Esoc100 (meV) | Esoc001 (meV) |
---|---|---|---|---|---|---|---|---|
1 | Zr | 1a | 0.666667 | 0.333333 | 0.553453 | -0.06 | . | . |
2 | Zr | 1a | 0.666667 | 0.333333 | 0.935281 | -0.05 | . | . |
3 | Zr | 1b | 0.000000 | 0.000000 | 0.073783 | -0.03 | . | . |
4 | Mn | 1c | 0.333333 | 0.666667 | 0.501042 | 0.88 | . | . |
5 | Mn | 1c | 0.333333 | 0.666667 | 0.003295 | 0.77 | . | . |
6 | Mn | 3d | 0.992268 | 0.496134 | 0.258004 | 0.22 | . | . |
7 | Mn | 3d | 0.503866 | 0.496134 | 0.258004 | 0.22 | . | . |
8 | Mn | 3d | 0.503866 | 0.007732 | 0.258004 | 0.22 | . | . |
9 | Mn | 3d | 0.677058 | 0.838529 | 0.742967 | 0.32 | . | . |
10 | Mn | 3d | 0.161471 | 0.838529 | 0.742967 | 0.32 | . | . |
11 | Mn | 3d | 0.161471 | 0.322942 | 0.742967 | 0.32 | . | . |
12 | Mn | 1b | 0.000000 | 0.000000 | 0.430284 | 3.04 | . | . |
site i | site j | distance (Å) | Jij (meV) | ||||
---|---|---|---|---|---|---|---|
1 | Zr | 1a | 2 | Zr | 1a | 3.05 | . |
1 | Zr | 1a | 3 | Zr | 1b | 4.75 | . |
1 | Zr | 1a | 4 | Mn | 1c | 2.84 | . |
1 | Zr | 1a | 5 | Mn | 1c | 4.56 | . |
1 | Zr | 1a | 6 | Mn | 3d | 2.73 | . |
1 | Zr | 1a | 7 | Mn | 3d | 2.73 | . |
1 | Zr | 1a | 8 | Mn | 3d | 2.73 | . |
1 | Zr | 1a | 9 | Mn | 3d | 2.87 | . |
1 | Zr | 1a | 10 | Mn | 3d | 2.87 | . |
1 | Zr | 1a | 11 | Mn | 3d | 2.87 | . |
1 | Zr | 1a | 12 | Mn | 1b | 2.98 | . |
2 | Zr | 1a | 3 | Zr | 1b | 3.02 | . |
2 | Zr | 1a | 4 | Mn | 1c | 4.47 | . |
2 | Zr | 1a | 5 | Mn | 1c | 2.86 | . |
2 | Zr | 1a | 6 | Mn | 3d | 2.92 | . |
2 | Zr | 1a | 7 | Mn | 3d | 2.92 | . |
2 | Zr | 1a | 8 | Mn | 3d | 2.92 | . |
2 | Zr | 1a | 9 | Mn | 3d | 2.88 | . |
2 | Zr | 1a | 10 | Mn | 3d | 2.88 | . |
2 | Zr | 1a | 11 | Mn | 3d | 2.88 | . |
2 | Zr | 1a | 12 | Mn | 1b | 4.85 | . |
3 | Zr | 1b | 4 | Mn | 1c | 4.42 | . |
3 | Zr | 1b | 5 | Mn | 1c | 2.87 | . |
3 | Zr | 1b | 6 | Mn | 3d | 2.85 | . |
3 | Zr | 1b | 7 | Mn | 3d | 2.85 | . |
3 | Zr | 1b | 8 | Mn | 3d | 2.85 | . |
3 | Zr | 1b | 9 | Mn | 3d | 2.97 | . |
3 | Zr | 1b | 10 | Mn | 3d | 2.97 | . |
3 | Zr | 1b | 11 | Mn | 3d | 2.97 | . |
3 | Zr | 1b | 12 | Mn | 1b | 2.85 | . |
4 | Mn | 1c | 5 | Mn | 1c | 3.98 | . |
4 | Mn | 1c | 6 | Mn | 3d | 2.42 | . |
4 | Mn | 1c | 7 | Mn | 3d | 2.42 | . |
4 | Mn | 1c | 8 | Mn | 3d | 2.42 | . |
4 | Mn | 1c | 9 | Mn | 3d | 2.42 | . |
4 | Mn | 1c | 10 | Mn | 3d | 2.42 | . |
4 | Mn | 1c | 11 | Mn | 3d | 2.42 | . |
4 | Mn | 1c | 12 | Mn | 1b | 2.87 | . |
5 | Mn | 1c | 6 | Mn | 3d | 2.49 | . |
5 | Mn | 1c | 7 | Mn | 3d | 2.49 | . |
5 | Mn | 1c | 8 | Mn | 3d | 2.49 | . |
5 | Mn | 1c | 9 | Mn | 3d | 2.54 | . |
5 | Mn | 1c | 10 | Mn | 3d | 2.54 | . |
5 | Mn | 1c | 11 | Mn | 3d | 2.54 | . |
5 | Mn | 1c | 12 | Mn | 1b | 4.42 | . |
6 | Mn | 3d | 7 | Mn | 3d | 2.38 | . |
6 | Mn | 3d | 8 | Mn | 3d | 2.38 | . |
6 | Mn | 3d | 9 | Mn | 3d | 4.77 | . |
6 | Mn | 3d | 10 | Mn | 3d | 4.13 | . |
6 | Mn | 3d | 11 | Mn | 3d | 4.13 | . |
6 | Mn | 3d | 12 | Mn | 1b | 2.80 | . |
7 | Mn | 3d | 8 | Mn | 3d | 2.38 | . |
7 | Mn | 3d | 9 | Mn | 3d | 4.13 | . |
7 | Mn | 3d | 10 | Mn | 3d | 4.77 | . |
7 | Mn | 3d | 11 | Mn | 3d | 4.13 | . |
7 | Mn | 3d | 12 | Mn | 1b | 2.80 | . |
8 | Mn | 3d | 9 | Mn | 3d | 4.13 | . |
8 | Mn | 3d | 10 | Mn | 3d | 4.13 | . |
8 | Mn | 3d | 11 | Mn | 3d | 4.77 | . |
8 | Mn | 3d | 12 | Mn | 1b | 2.80 | . |
9 | Mn | 3d | 10 | Mn | 3d | 2.36 | . |
9 | Mn | 3d | 11 | Mn | 3d | 2.36 | . |
9 | Mn | 3d | 12 | Mn | 1b | 2.85 | . |
10 | Mn | 3d | 11 | Mn | 3d | 2.36 | . |
10 | Mn | 3d | 12 | Mn | 1b | 2.85 | . |
11 | Mn | 3d | 12 | Mn | 1b | 2.85 | . |
DFT calculations |
|
LMTO-GF calculations |
|
References |
Materials Project: mp-1215293 |